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Li-Yau type estimation of a semilinear parabolic system along geometric flow

  • Yanlin Li,
  • Sujit Bhattacharyya,
  • Shahroud Azami,
  • Shyamal Kumar Hui

摘要

This article provides a Li–Yau-type gradient estimate for a semilinear weighted parabolic system of semilinear equations along an abstract geometric flow on a smooth measure space. A Harnack-type inequality on the system is also derived at the end.